By the 23rd century, due to the House of Kor's impeccable aristocratic lineage, its members tended to be elitist – biased against members of lesser Houses, and even treating some Klingons as social outcasts. In contrast, the lesser House of T'Kuvma welcomed as equals the kind of lowborns and outcasts that the House Kor rejected. (DIS: "The Vulcan Hello") Even in the early 24th century, its aristocratic leanings were seen as reactionary even compared to other Great Houses. (DS9: "Soldiers of the Empire")

The comic book Star Trek: Discovery - Aftermath depicts Rynar as having become the leader of the House of Kor after the death of Kol-Sha. Although Rynar and his son Kor dislike and distrust L'Rell, Kor accepts her offer to lead her personal security team at a summit with Federation representatives, including Capt. Christopher Pike and Lt. Spock.